TSTP Solution File: SWC418-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC418-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.osp3nBpMfI true
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:31:28 EDT 2023
% Result : Unsatisfiable 131.31s 20.00s
% Output : Refutation 131.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC418-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.osp3nBpMfI true
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 14:57:20 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.60 % Total configuration time : 435
% 0.20/0.60 % Estimated wc time : 1092
% 0.20/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 131.31/20.00 % Solved by fo/fo6_bce.sh.
% 131.31/20.00 % BCE start: 195
% 131.31/20.00 % BCE eliminated: 0
% 131.31/20.00 % PE start: 195
% 131.31/20.00 logic: eq
% 131.31/20.00 % PE eliminated: 6
% 131.31/20.00 % done 6131 iterations in 19.257s
% 131.31/20.00 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 131.31/20.00 % SZS output start Refutation
% 131.31/20.00 thf(nil_type, type, nil: $i).
% 131.31/20.00 thf(cons_type, type, cons: $i > $i > $i).
% 131.31/20.00 thf(sk2_type, type, sk2: $i).
% 131.31/20.00 thf(sk4_type, type, sk4: $i).
% 131.31/20.00 thf(tl_type, type, tl: $i > $i).
% 131.31/20.00 thf(hd_type, type, hd: $i > $i).
% 131.31/20.00 thf(ssItem_type, type, ssItem: $i > $o).
% 131.31/20.00 thf(sk3_type, type, sk3: $i).
% 131.31/20.00 thf(neq_type, type, neq: $i > $i > $o).
% 131.31/20.00 thf(app_type, type, app: $i > $i > $i).
% 131.31/20.00 thf(ssList_type, type, ssList: $i > $o).
% 131.31/20.00 thf(sk1_type, type, sk1: $i).
% 131.31/20.00 thf(co1_7, conjecture, (~( neq @ sk2 @ nil ))).
% 131.31/20.00 thf(zf_stmt_0, negated_conjecture, (neq @ sk2 @ nil),
% 131.31/20.00 inference('cnf.neg', [status(esa)], [co1_7])).
% 131.31/20.00 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 131.31/20.00 inference('cnf', [status(esa)], [zf_stmt_0])).
% 131.31/20.00 thf(clause104, axiom,
% 131.31/20.00 (( ~( ssList @ U ) ) | ( ( cons @ ( hd @ U ) @ ( tl @ U ) ) = ( U ) ) |
% 131.31/20.00 ( ( nil ) = ( U ) ))).
% 131.31/20.00 thf(zip_derived_cl103, plain,
% 131.31/20.00 (![X0 : $i]:
% 131.31/20.00 (~ (ssList @ X0)
% 131.31/20.00 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 131.31/20.00 | ((nil) = (X0)))),
% 131.31/20.00 inference('cnf', [status(esa)], [clause104])).
% 131.31/20.00 thf(clause76, axiom,
% 131.31/20.00 (( ~( ssList @ U ) ) | ( ssItem @ ( hd @ U ) ) | ( ( nil ) = ( U ) ))).
% 131.31/20.00 thf(zip_derived_cl75, plain,
% 131.31/20.00 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 131.31/20.00 inference('cnf', [status(esa)], [clause76])).
% 131.31/20.00 thf(clause75, axiom,
% 131.31/20.00 (( ~( ssList @ U ) ) | ( ssList @ ( tl @ U ) ) | ( ( nil ) = ( U ) ))).
% 131.31/20.00 thf(zip_derived_cl74, plain,
% 131.31/20.00 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 131.31/20.00 inference('cnf', [status(esa)], [clause75])).
% 131.31/20.00 thf(clause120, axiom,
% 131.31/20.00 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 131.31/20.00 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 131.31/20.00 thf(zip_derived_cl119, plain,
% 131.31/20.00 (![X0 : $i, X1 : $i]:
% 131.31/20.00 (~ (ssItem @ X0)
% 131.31/20.00 | ~ (ssList @ X1)
% 131.31/20.00 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 131.31/20.00 inference('cnf', [status(esa)], [clause120])).
% 131.31/20.00 thf(zip_derived_cl75, plain,
% 131.31/20.00 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 131.31/20.00 inference('cnf', [status(esa)], [clause76])).
% 131.31/20.00 thf(clause86, axiom,
% 131.31/20.00 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 131.31/20.00 thf(zip_derived_cl85, plain,
% 131.31/20.00 (![X0 : $i, X1 : $i]:
% 131.31/20.00 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 131.31/20.00 inference('cnf', [status(esa)], [clause86])).
% 131.31/20.00 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 131.31/20.00 thf(zip_derived_cl73, plain,
% 131.31/20.00 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 131.31/20.00 inference('cnf', [status(esa)], [clause74])).
% 131.31/20.00 thf(zip_derived_cl74, plain,
% 131.31/20.00 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 131.31/20.00 inference('cnf', [status(esa)], [clause75])).
% 131.31/20.00 thf(zip_derived_cl75, plain,
% 131.31/20.00 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 131.31/20.00 inference('cnf', [status(esa)], [clause76])).
% 131.31/20.00 thf(zip_derived_cl75, plain,
% 131.31/20.00 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 131.31/20.00 inference('cnf', [status(esa)], [clause76])).
% 131.31/20.00 thf(zip_derived_cl85, plain,
% 131.31/20.00 (![X0 : $i, X1 : $i]:
% 131.31/20.00 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 131.31/20.00 inference('cnf', [status(esa)], [clause86])).
% 131.31/20.00 thf(zip_derived_cl74, plain,
% 131.31/20.00 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 131.31/20.00 inference('cnf', [status(esa)], [clause75])).
% 131.31/20.00 thf(clause85, axiom,
% 131.31/20.00 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 131.31/20.00 thf(zip_derived_cl84, plain,
% 131.31/20.00 (![X0 : $i, X1 : $i]:
% 131.31/20.00 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 131.31/20.00 inference('cnf', [status(esa)], [clause85])).
% 131.31/20.00 thf(zip_derived_cl75, plain,
% 131.31/20.00 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 131.31/20.00 inference('cnf', [status(esa)], [clause76])).
% 131.31/20.00 thf(zip_derived_cl85, plain,
% 131.31/20.00 (![X0 : $i, X1 : $i]:
% 131.31/20.00 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 131.31/20.00 inference('cnf', [status(esa)], [clause86])).
% 131.31/20.00 thf(zip_derived_cl75, plain,
% 131.31/20.00 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 131.31/20.00 inference('cnf', [status(esa)], [clause76])).
% 131.31/20.00 thf(zip_derived_cl74, plain,
% 131.31/20.00 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 131.31/20.00 inference('cnf', [status(esa)], [clause75])).
% 131.31/20.00 thf(clause100, axiom,
% 131.31/20.00 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 131.31/20.00 ( ( V ) = ( U ) ))).
% 131.31/20.00 thf(zip_derived_cl99, plain,
% 131.31/20.00 (![X0 : $i, X1 : $i]:
% 131.31/20.00 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 131.31/20.00 inference('cnf', [status(esa)], [clause100])).
% 131.31/20.00 thf(co1_10, conjecture,
% 131.31/20.00 (~( ( ~( ssList @ C ) ) | ( ~( neq @ nil @ sk4 ) ) | ( ~( ssList @ B ) ) |
% 131.31/20.00 ( ~( neq @ sk4 @ nil ) ) | ( ( tl @ sk4 ) != ( B ) ) |
% 131.31/20.00 ( ~( ssItem @ D ) ) | ( ( sk3 ) = ( A ) ) |
% 131.31/20.00 ( ( app @ B @ C ) != ( A ) ) | ( ~( ssList @ A ) ) |
% 131.31/20.00 ( ( hd @ sk4 ) != ( D ) ) | ( ( cons @ D @ nil ) != ( C ) ) ))).
% 131.31/20.00 thf(zf_stmt_1, negated_conjecture,
% 131.31/20.00 (( ~( ssList @ C ) ) | ( ~( neq @ nil @ sk4 ) ) | ( ~( ssList @ B ) ) |
% 131.31/20.00 ( ~( neq @ sk4 @ nil ) ) | ( ( tl @ sk4 ) != ( B ) ) |
% 131.31/20.00 ( ~( ssItem @ D ) ) | ( ( sk3 ) = ( A ) ) |
% 131.31/20.00 ( ( app @ B @ C ) != ( A ) ) | ( ~( ssList @ A ) ) |
% 131.31/20.00 ( ( hd @ sk4 ) != ( D ) ) | ( ( cons @ D @ nil ) != ( C ) )),
% 131.31/20.00 inference('cnf.neg', [status(esa)], [co1_10])).
% 131.31/20.00 thf(zip_derived_cl194, plain,
% 131.31/20.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 131.31/20.00 (~ (ssList @ X0)
% 131.31/20.00 | ~ (neq @ nil @ sk4)
% 131.31/20.00 | ~ (ssList @ X1)
% 131.31/20.00 | ~ (neq @ sk4 @ nil)
% 131.31/20.00 | ((tl @ sk4) != (X1))
% 131.31/20.00 | ~ (ssItem @ X2)
% 131.31/20.00 | ((sk3) = (X3))
% 131.31/20.00 | ((app @ X1 @ X0) != (X3))
% 131.31/20.00 | ~ (ssList @ X3)
% 131.31/20.00 | ((hd @ sk4) != (X2))
% 131.31/20.00 | ((cons @ X2 @ nil) != (X0)))),
% 131.31/20.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 131.31/20.00 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 131.31/20.00 thf(zf_stmt_2, negated_conjecture, (( sk2 ) = ( sk4 )),
% 131.31/20.00 inference('cnf.neg', [status(esa)], [co1_5])).
% 131.31/20.00 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 131.31/20.00 inference('cnf', [status(esa)], [zf_stmt_2])).
% 131.31/20.00 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 131.31/20.00 inference('cnf', [status(esa)], [zf_stmt_2])).
% 131.31/20.00 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 131.31/20.00 inference('cnf', [status(esa)], [zf_stmt_0])).
% 131.31/20.00 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 131.31/20.00 inference('cnf', [status(esa)], [zf_stmt_2])).
% 131.31/20.00 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 131.31/20.00 thf(zf_stmt_3, negated_conjecture, (( sk1 ) = ( sk3 )),
% 131.31/20.00 inference('cnf.neg', [status(esa)], [co1_6])).
% 131.31/20.00 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 131.31/20.00 inference('cnf', [status(esa)], [zf_stmt_3])).
% 131.31/20.00 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 131.31/20.00 inference('cnf', [status(esa)], [zf_stmt_2])).
% 131.31/20.00 thf(zip_derived_cl3471, plain,
% 131.31/20.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 131.31/20.00 (~ (ssList @ X0)
% 131.31/20.00 | ~ (neq @ nil @ sk2)
% 131.31/20.00 | ~ (ssList @ X1)
% 131.31/20.00 | ((tl @ sk2) != (X1))
% 131.31/20.00 | ~ (ssItem @ X2)
% 131.31/20.00 | ((sk1) = (X3))
% 131.31/20.00 | ((app @ X1 @ X0) != (X3))
% 131.31/20.00 | ~ (ssList @ X3)
% 131.31/20.00 | ((hd @ sk2) != (X2))
% 131.31/20.00 | ((cons @ X2 @ nil) != (X0)))),
% 131.31/20.00 inference('demod', [status(thm)],
% 131.31/20.00 [zip_derived_cl194, zip_derived_cl189, zip_derived_cl189,
% 131.31/20.00 zip_derived_cl191, zip_derived_cl189, zip_derived_cl190,
% 131.31/20.00 zip_derived_cl189])).
% 131.31/20.00 thf(zip_derived_cl3472, plain,
% 131.31/20.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 131.31/20.00 (((nil) = (sk2))
% 131.31/20.00 | ~ (ssList @ nil)
% 131.31/20.00 | ~ (ssList @ sk2)
% 131.31/20.00 | ~ (ssList @ X0)
% 131.31/20.00 | ~ (ssList @ X1)
% 131.31/20.00 | ((tl @ sk2) != (X1))
% 131.31/20.00 | ~ (ssItem @ X2)
% 131.31/20.00 | ((sk1) = (X3))
% 131.31/20.00 | ((app @ X1 @ X0) != (X3))
% 131.31/20.00 | ~ (ssList @ X3)
% 131.31/20.00 | ((hd @ sk2) != (X2))
% 131.31/20.00 | ((cons @ X2 @ nil) != (X0)))),
% 131.31/20.00 inference('s_sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl3471])).
% 131.31/20.00 thf(clause8, axiom, (ssList @ nil)).
% 131.31/20.00 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 131.31/20.00 inference('cnf', [status(esa)], [clause8])).
% 131.31/20.00 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 131.31/20.00 thf(zf_stmt_4, negated_conjecture, (ssList @ sk2),
% 131.31/20.00 inference('cnf.neg', [status(esa)], [co1_2])).
% 131.31/20.00 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 131.31/20.00 inference('cnf', [status(esa)], [zf_stmt_4])).
% 131.31/20.00 thf(zip_derived_cl3474, plain,
% 131.31/20.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 131.31/20.00 (((nil) = (sk2))
% 131.31/20.00 | ~ (ssList @ X0)
% 131.31/20.00 | ~ (ssList @ X1)
% 131.31/20.00 | ((tl @ sk2) != (X1))
% 131.31/20.00 | ~ (ssItem @ X2)
% 131.31/20.00 | ((sk1) = (X3))
% 131.31/20.00 | ((app @ X1 @ X0) != (X3))
% 131.31/20.00 | ~ (ssList @ X3)
% 131.31/20.00 | ((hd @ sk2) != (X2))
% 131.31/20.00 | ((cons @ X2 @ nil) != (X0)))),
% 131.31/20.00 inference('demod', [status(thm)],
% 131.31/20.00 [zip_derived_cl3472, zip_derived_cl7, zip_derived_cl186])).
% 131.31/20.00 thf(zip_derived_cl5381, plain,
% 131.31/20.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 131.31/20.00 (((cons @ X0 @ nil) != (X1))
% 131.31/20.00 | ((hd @ sk2) != (X0))
% 131.31/20.00 | ~ (ssList @ X2)
% 131.31/20.00 | ((app @ (tl @ sk2) @ X1) != (X2))
% 131.31/20.00 | ((sk1) = (X2))
% 131.31/20.00 | ~ (ssItem @ X0)
% 131.31/20.00 | ~ (ssList @ (tl @ sk2))
% 131.31/20.00 | ~ (ssList @ X1)
% 131.31/20.00 | ((nil) = (sk2)))),
% 131.31/20.00 inference('eq_res', [status(thm)], [zip_derived_cl3474])).
% 131.31/20.00 thf(zip_derived_cl6785, plain,
% 131.31/20.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 131.31/20.00 (((nil) = (sk2))
% 131.31/20.00 | ~ (ssList @ sk2)
% 131.31/20.00 | ((cons @ X0 @ nil) != (X1))
% 131.31/20.00 | ((hd @ sk2) != (X0))
% 131.31/20.00 | ~ (ssList @ X2)
% 131.31/20.00 | ((app @ (tl @ sk2) @ X1) != (X2))
% 131.31/20.00 | ((sk1) = (X2))
% 131.31/20.00 | ~ (ssItem @ X0)
% 131.31/20.00 | ~ (ssList @ X1)
% 131.31/20.00 | ((nil) = (sk2)))),
% 131.31/20.00 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl5381])).
% 131.31/20.00 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 131.31/20.00 inference('cnf', [status(esa)], [zf_stmt_4])).
% 131.31/20.00 thf(zip_derived_cl6786, plain,
% 131.31/20.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 131.31/20.00 (((nil) = (sk2))
% 131.31/20.00 | ((cons @ X0 @ nil) != (X1))
% 131.31/20.00 | ((hd @ sk2) != (X0))
% 131.31/20.00 | ~ (ssList @ X2)
% 131.31/20.00 | ((app @ (tl @ sk2) @ X1) != (X2))
% 131.31/20.00 | ((sk1) = (X2))
% 131.31/20.00 | ~ (ssItem @ X0)
% 131.31/20.00 | ~ (ssList @ X1)
% 131.31/20.00 | ((nil) = (sk2)))),
% 131.31/20.00 inference('demod', [status(thm)], [zip_derived_cl6785, zip_derived_cl186])).
% 131.31/20.00 thf(zip_derived_cl6787, plain,
% 131.31/20.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 131.31/20.00 (~ (ssList @ X1)
% 131.31/20.00 | ~ (ssItem @ X0)
% 131.31/20.00 | ((sk1) = (X2))
% 131.31/20.00 | ((app @ (tl @ sk2) @ X1) != (X2))
% 131.31/20.00 | ~ (ssList @ X2)
% 131.31/20.00 | ((hd @ sk2) != (X0))
% 131.31/20.00 | ((cons @ X0 @ nil) != (X1))
% 131.31/20.00 | ((nil) = (sk2)))),
% 131.31/20.00 inference('simplify', [status(thm)], [zip_derived_cl6786])).
% 131.31/20.00 thf(zip_derived_cl10412, plain,
% 131.31/20.00 (![X0 : $i, X1 : $i]:
% 131.31/20.00 (((nil) = (sk2))
% 131.31/20.00 | ((cons @ (hd @ sk2) @ nil) != (X0))
% 131.31/20.00 | ~ (ssList @ X1)
% 131.31/20.00 | ((app @ (tl @ sk2) @ X0) != (X1))
% 131.31/20.00 | ((sk1) = (X1))
% 131.31/20.00 | ~ (ssItem @ (hd @ sk2))
% 131.31/20.00 | ~ (ssList @ X0))),
% 131.31/20.00 inference('eq_res', [status(thm)], [zip_derived_cl6787])).
% 131.31/20.00 thf(zip_derived_cl22719, plain,
% 131.31/20.00 (![X0 : $i, X1 : $i]:
% 131.31/20.00 (((nil) = (sk2))
% 131.31/20.00 | ~ (ssList @ sk2)
% 131.31/20.00 | ((nil) = (sk2))
% 131.31/20.00 | ((cons @ (hd @ sk2) @ nil) != (X0))
% 131.31/20.00 | ~ (ssList @ X1)
% 131.31/20.00 | ((app @ (tl @ sk2) @ X0) != (X1))
% 131.31/20.00 | ((sk1) = (X1))
% 131.31/20.00 | ~ (ssList @ X0))),
% 131.31/20.00 inference('s_sup-', [status(thm)],
% 131.31/20.00 [zip_derived_cl75, zip_derived_cl10412])).
% 131.31/20.00 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 131.31/20.00 inference('cnf', [status(esa)], [zf_stmt_4])).
% 131.31/20.00 thf(zip_derived_cl22720, plain,
% 131.31/20.00 (![X0 : $i, X1 : $i]:
% 131.31/20.00 (((nil) = (sk2))
% 131.31/20.00 | ((nil) = (sk2))
% 131.31/20.00 | ((cons @ (hd @ sk2) @ nil) != (X0))
% 131.31/20.00 | ~ (ssList @ X1)
% 131.31/20.00 | ((app @ (tl @ sk2) @ X0) != (X1))
% 131.31/20.00 | ((sk1) = (X1))
% 131.31/20.00 | ~ (ssList @ X0))),
% 131.31/20.00 inference('demod', [status(thm)],
% 131.31/20.00 [zip_derived_cl22719, zip_derived_cl186])).
% 131.31/20.00 thf(zip_derived_cl22721, plain,
% 131.31/20.00 (![X0 : $i, X1 : $i]:
% 131.31/20.00 (~ (ssList @ X0)
% 131.31/20.00 | ((sk1) = (X1))
% 131.31/20.00 | ((app @ (tl @ sk2) @ X0) != (X1))
% 131.31/20.00 | ~ (ssList @ X1)
% 131.31/20.00 | ((cons @ (hd @ sk2) @ nil) != (X0))
% 131.31/20.00 | ((nil) = (sk2)))),
% 131.31/20.00 inference('simplify', [status(thm)], [zip_derived_cl22720])).
% 131.31/20.00 thf(zip_derived_cl38480, plain,
% 131.31/20.00 (![X0 : $i]:
% 131.31/20.00 (((nil) = (sk2))
% 131.31/20.00 | ((cons @ (hd @ sk2) @ nil) != (X0))
% 131.31/20.00 | ~ (ssList @ (app @ (tl @ sk2) @ X0))
% 131.31/20.00 | ((sk1) = (app @ (tl @ sk2) @ X0))
% 131.31/20.00 | ~ (ssList @ X0))),
% 131.31/20.00 inference('eq_res', [status(thm)], [zip_derived_cl22721])).
% 131.31/20.00 thf(zip_derived_cl38514, plain,
% 131.31/20.00 ((~ (ssList @ (cons @ (hd @ sk2) @ nil))
% 131.31/20.00 | ((sk1) = (app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)))
% 131.31/20.00 | ~ (ssList @ (app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)))
% 131.31/20.00 | ((nil) = (sk2)))),
% 131.31/20.00 inference('eq_res', [status(thm)], [zip_derived_cl38480])).
% 131.31/20.00 thf(zip_derived_cl38515, plain,
% 131.31/20.00 ((~ (ssList @ nil)
% 131.31/20.00 | ~ (ssItem @ (hd @ sk2))
% 131.31/20.00 | ((sk1) = (app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)))
% 131.31/20.00 | ~ (ssList @ (app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)))
% 131.31/20.00 | ((nil) = (sk2)))),
% 131.31/20.00 inference('s_sup-', [status(thm)],
% 131.31/20.00 [zip_derived_cl85, zip_derived_cl38514])).
% 131.31/20.00 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 131.31/20.00 inference('cnf', [status(esa)], [clause8])).
% 131.31/20.00 thf(zip_derived_cl38516, plain,
% 131.31/20.00 ((~ (ssItem @ (hd @ sk2))
% 131.31/20.00 | ((sk1) = (app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)))
% 131.31/20.00 | ~ (ssList @ (app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)))
% 131.31/20.00 | ((nil) = (sk2)))),
% 131.31/20.00 inference('demod', [status(thm)], [zip_derived_cl38515, zip_derived_cl7])).
% 131.31/20.00 thf(zip_derived_cl38517, plain,
% 131.31/20.00 ((((nil) = (sk2))
% 131.31/20.00 | ~ (ssList @ sk2)
% 131.31/20.00 | ((sk1) = (app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)))
% 131.31/20.00 | ~ (ssList @ (app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)))
% 131.31/20.00 | ((nil) = (sk2)))),
% 131.31/20.00 inference('s_sup-', [status(thm)],
% 131.31/20.00 [zip_derived_cl75, zip_derived_cl38516])).
% 131.31/20.00 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 131.31/20.00 inference('cnf', [status(esa)], [zf_stmt_4])).
% 131.31/20.00 thf(zip_derived_cl38518, plain,
% 131.31/20.00 ((((nil) = (sk2))
% 131.31/20.00 | ((sk1) = (app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)))
% 131.31/20.00 | ~ (ssList @ (app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)))
% 131.31/20.00 | ((nil) = (sk2)))),
% 131.31/20.00 inference('demod', [status(thm)],
% 131.31/20.00 [zip_derived_cl38517, zip_derived_cl186])).
% 131.31/20.00 thf(zip_derived_cl38519, plain,
% 131.31/20.00 ((~ (ssList @ (app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)))
% 131.31/20.00 | ((sk1) = (app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)))
% 131.31/20.00 | ((nil) = (sk2)))),
% 131.31/20.00 inference('simplify', [status(thm)], [zip_derived_cl38518])).
% 131.31/20.00 thf(zip_derived_cl38520, plain,
% 131.31/20.00 ((~ (ssList @ (tl @ sk2))
% 131.31/20.00 | ~ (ssList @ (cons @ (hd @ sk2) @ nil))
% 131.31/20.00 | ((sk1) = (app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)))
% 131.31/20.00 | ((nil) = (sk2)))),
% 131.31/20.00 inference('s_sup-', [status(thm)],
% 131.31/20.00 [zip_derived_cl84, zip_derived_cl38519])).
% 131.31/20.00 thf(zip_derived_cl38534, plain,
% 131.31/20.00 ((((nil) = (sk2))
% 131.31/20.00 | ~ (ssList @ sk2)
% 131.31/20.00 | ~ (ssList @ (cons @ (hd @ sk2) @ nil))
% 131.31/20.00 | ((sk1) = (app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)))
% 131.31/20.00 | ((nil) = (sk2)))),
% 131.31/20.00 inference('s_sup-', [status(thm)],
% 131.31/20.00 [zip_derived_cl74, zip_derived_cl38520])).
% 131.31/20.00 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 131.31/20.00 inference('cnf', [status(esa)], [zf_stmt_4])).
% 131.31/20.00 thf(zip_derived_cl38537, plain,
% 131.31/20.00 ((((nil) = (sk2))
% 131.31/20.00 | ~ (ssList @ (cons @ (hd @ sk2) @ nil))
% 131.31/20.00 | ((sk1) = (app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)))
% 131.31/20.00 | ((nil) = (sk2)))),
% 131.31/20.00 inference('demod', [status(thm)],
% 131.31/20.00 [zip_derived_cl38534, zip_derived_cl186])).
% 131.31/20.00 thf(zip_derived_cl38538, plain,
% 131.31/20.00 ((((sk1) = (app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)))
% 131.31/20.00 | ~ (ssList @ (cons @ (hd @ sk2) @ nil))
% 131.31/20.00 | ((nil) = (sk2)))),
% 131.31/20.00 inference('simplify', [status(thm)], [zip_derived_cl38537])).
% 131.31/20.00 thf(zip_derived_cl38543, plain,
% 131.31/20.00 ((~ (ssList @ nil)
% 131.31/20.00 | ~ (ssItem @ (hd @ sk2))
% 131.31/20.00 | ((sk1) = (app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)))
% 131.31/20.00 | ((nil) = (sk2)))),
% 131.31/20.00 inference('s_sup-', [status(thm)],
% 131.31/20.00 [zip_derived_cl85, zip_derived_cl38538])).
% 131.31/20.00 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 131.31/20.00 inference('cnf', [status(esa)], [clause8])).
% 131.31/20.00 thf(zip_derived_cl38544, plain,
% 131.31/20.00 ((~ (ssItem @ (hd @ sk2))
% 131.31/20.00 | ((sk1) = (app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)))
% 131.31/20.00 | ((nil) = (sk2)))),
% 131.31/20.00 inference('demod', [status(thm)], [zip_derived_cl38543, zip_derived_cl7])).
% 131.31/20.00 thf(zip_derived_cl38545, plain,
% 131.31/20.00 ((((nil) = (sk2))
% 131.31/20.00 | ~ (ssList @ sk2)
% 131.31/20.00 | ((sk1) = (app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)))
% 131.31/20.00 | ((nil) = (sk2)))),
% 131.31/20.00 inference('s_sup-', [status(thm)],
% 131.31/20.00 [zip_derived_cl75, zip_derived_cl38544])).
% 131.31/20.00 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 131.31/20.00 inference('cnf', [status(esa)], [zf_stmt_4])).
% 131.31/20.00 thf(zip_derived_cl38546, plain,
% 131.31/20.00 ((((nil) = (sk2))
% 131.31/20.00 | ((sk1) = (app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)))
% 131.31/20.00 | ((nil) = (sk2)))),
% 131.31/20.00 inference('demod', [status(thm)],
% 131.31/20.00 [zip_derived_cl38545, zip_derived_cl186])).
% 131.31/20.00 thf(zip_derived_cl38547, plain,
% 131.31/20.00 ((((sk1) = (app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)))
% 131.31/20.00 | ((nil) = (sk2)))),
% 131.31/20.00 inference('simplify', [status(thm)], [zip_derived_cl38546])).
% 131.31/20.00 thf(zip_derived_cl119, plain,
% 131.31/20.00 (![X0 : $i, X1 : $i]:
% 131.31/20.00 (~ (ssItem @ X0)
% 131.31/20.00 | ~ (ssList @ X1)
% 131.31/20.00 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 131.31/20.00 inference('cnf', [status(esa)], [clause120])).
% 131.31/20.00 thf(zip_derived_cl85, plain,
% 131.31/20.00 (![X0 : $i, X1 : $i]:
% 131.31/20.00 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 131.31/20.00 inference('cnf', [status(esa)], [clause86])).
% 131.31/20.00 thf(clause149, axiom,
% 131.31/20.00 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 131.31/20.00 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 131.31/20.00 thf(zip_derived_cl148, plain,
% 131.31/20.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 131.31/20.00 (~ (ssList @ X0)
% 131.31/20.00 | ~ (ssList @ X1)
% 131.31/20.00 | ~ (ssList @ X2)
% 131.31/20.00 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 131.31/20.00 inference('cnf', [status(esa)], [clause149])).
% 131.31/20.00 thf(co1_8, conjecture,
% 131.31/20.00 (~( ( ( app @ ( app @ C @ ( cons @ A @ nil ) ) @ B ) != ( sk1 ) ) |
% 131.31/20.00 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk2 ) ) |
% 131.31/20.00 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 131.31/20.00 thf(zf_stmt_5, negated_conjecture,
% 131.31/20.00 (( ( app @ ( app @ C @ ( cons @ A @ nil ) ) @ B ) != ( sk1 ) ) |
% 131.31/20.00 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk2 ) ) |
% 131.31/20.00 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) )),
% 131.31/20.00 inference('cnf.neg', [status(esa)], [co1_8])).
% 131.31/20.00 thf(zip_derived_cl192, plain,
% 131.31/20.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 131.31/20.00 (((app @ (app @ X0 @ (cons @ X1 @ nil)) @ X2) != (sk1))
% 131.31/20.00 | ((app @ (app @ X2 @ (cons @ X1 @ nil)) @ X0) != (sk2))
% 131.31/20.00 | ~ (ssList @ X0)
% 131.31/20.00 | ~ (ssList @ X2)
% 131.31/20.00 | ~ (ssItem @ X1))),
% 131.31/20.00 inference('cnf', [status(esa)], [zf_stmt_5])).
% 131.31/20.00 thf(zip_derived_cl2235, plain,
% 131.31/20.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 131.31/20.00 (~ (ssList @ X2)
% 131.31/20.00 | ~ (ssList @ (cons @ X1 @ nil))
% 131.31/20.00 | ~ (ssList @ X0)
% 131.31/20.00 | ((app @ X2 @ (app @ (cons @ X1 @ nil) @ X0)) != (sk1))
% 131.31/20.00 | ((app @ (app @ X0 @ (cons @ X1 @ nil)) @ X2) != (sk2))
% 131.31/20.00 | ~ (ssList @ X2)
% 131.31/20.00 | ~ (ssList @ X0)
% 131.31/20.00 | ~ (ssItem @ X1))),
% 131.31/20.00 inference('s_sup-', [status(thm)], [zip_derived_cl148, zip_derived_cl192])).
% 131.31/20.00 thf(zip_derived_cl2277, plain,
% 131.31/20.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 131.31/20.00 (~ (ssItem @ X1)
% 131.31/20.00 | ((app @ (app @ X0 @ (cons @ X1 @ nil)) @ X2) != (sk2))
% 131.31/20.00 | ((app @ X2 @ (app @ (cons @ X1 @ nil) @ X0)) != (sk1))
% 131.31/20.00 | ~ (ssList @ X0)
% 131.31/20.00 | ~ (ssList @ (cons @ X1 @ nil))
% 131.31/20.00 | ~ (ssList @ X2))),
% 131.31/20.00 inference('simplify', [status(thm)], [zip_derived_cl2235])).
% 131.31/20.00 thf(zip_derived_cl5257, plain,
% 131.31/20.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 131.31/20.00 (~ (ssList @ nil)
% 131.31/20.00 | ~ (ssItem @ X0)
% 131.31/20.00 | ~ (ssItem @ X0)
% 131.31/20.00 | ((app @ (app @ X2 @ (cons @ X0 @ nil)) @ X1) != (sk2))
% 131.31/20.00 | ((app @ X1 @ (app @ (cons @ X0 @ nil) @ X2)) != (sk1))
% 131.31/20.00 | ~ (ssList @ X2)
% 131.31/20.00 | ~ (ssList @ X1))),
% 131.31/20.00 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2277])).
% 131.31/20.00 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 131.31/20.00 inference('cnf', [status(esa)], [clause8])).
% 131.31/20.00 thf(zip_derived_cl5260, plain,
% 131.31/20.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 131.31/20.00 (~ (ssItem @ X0)
% 131.31/20.00 | ~ (ssItem @ X0)
% 131.31/20.00 | ((app @ (app @ X2 @ (cons @ X0 @ nil)) @ X1) != (sk2))
% 131.31/20.00 | ((app @ X1 @ (app @ (cons @ X0 @ nil) @ X2)) != (sk1))
% 131.31/20.00 | ~ (ssList @ X2)
% 131.31/20.00 | ~ (ssList @ X1))),
% 131.31/20.00 inference('demod', [status(thm)], [zip_derived_cl5257, zip_derived_cl7])).
% 131.31/20.00 thf(zip_derived_cl5261, plain,
% 131.31/20.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 131.31/20.00 (~ (ssList @ X1)
% 131.31/20.00 | ~ (ssList @ X2)
% 131.31/20.00 | ((app @ X1 @ (app @ (cons @ X0 @ nil) @ X2)) != (sk1))
% 131.31/20.00 | ((app @ (app @ X2 @ (cons @ X0 @ nil)) @ X1) != (sk2))
% 131.31/20.00 | ~ (ssItem @ X0))),
% 131.31/20.00 inference('simplify', [status(thm)], [zip_derived_cl5260])).
% 131.31/20.00 thf(zip_derived_cl6510, plain,
% 131.31/20.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 131.31/20.00 (~ (ssList @ X0)
% 131.31/20.00 | ~ (ssItem @ X1)
% 131.31/20.00 | ~ (ssList @ X2)
% 131.31/20.00 | ~ (ssList @ X0)
% 131.31/20.00 | ((app @ X2 @ (cons @ X1 @ X0)) != (sk1))
% 131.31/20.00 | ((app @ (app @ X0 @ (cons @ X1 @ nil)) @ X2) != (sk2))
% 131.31/20.00 | ~ (ssItem @ X1))),
% 131.31/20.00 inference('s_sup-', [status(thm)],
% 131.31/20.00 [zip_derived_cl119, zip_derived_cl5261])).
% 131.31/20.00 thf(zip_derived_cl6524, plain,
% 131.31/20.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 131.31/20.00 (((app @ (app @ X0 @ (cons @ X1 @ nil)) @ X2) != (sk2))
% 131.31/20.00 | ((app @ X2 @ (cons @ X1 @ X0)) != (sk1))
% 131.31/20.00 | ~ (ssList @ X2)
% 131.31/20.00 | ~ (ssItem @ X1)
% 131.31/20.00 | ~ (ssList @ X0))),
% 131.31/20.00 inference('simplify', [status(thm)], [zip_derived_cl6510])).
% 131.31/20.00 thf(zip_derived_cl38735, plain,
% 131.31/20.00 ((((nil) = (sk2))
% 131.31/20.00 | ((app @ (app @ nil @ (cons @ (hd @ sk2) @ nil)) @ (tl @ sk2))
% 131.31/20.00 != (sk2))
% 131.31/20.00 | ((sk1) != (sk1))
% 131.31/20.00 | ~ (ssList @ (tl @ sk2))
% 131.31/20.00 | ~ (ssItem @ (hd @ sk2))
% 131.31/20.00 | ~ (ssList @ nil))),
% 131.31/20.00 inference('s_sup-', [status(thm)],
% 131.31/20.00 [zip_derived_cl38547, zip_derived_cl6524])).
% 131.31/20.00 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 131.31/20.00 inference('cnf', [status(esa)], [clause8])).
% 131.31/20.00 thf(zip_derived_cl38876, plain,
% 131.31/20.00 ((((nil) = (sk2))
% 131.31/20.00 | ((app @ (app @ nil @ (cons @ (hd @ sk2) @ nil)) @ (tl @ sk2))
% 131.31/20.00 != (sk2))
% 131.31/20.00 | ((sk1) != (sk1))
% 131.31/20.00 | ~ (ssList @ (tl @ sk2))
% 131.31/20.00 | ~ (ssItem @ (hd @ sk2)))),
% 131.31/20.00 inference('demod', [status(thm)], [zip_derived_cl38735, zip_derived_cl7])).
% 131.31/20.00 thf(zip_derived_cl38877, plain,
% 131.31/20.00 ((~ (ssItem @ (hd @ sk2))
% 131.31/20.00 | ~ (ssList @ (tl @ sk2))
% 131.31/20.00 | ((app @ (app @ nil @ (cons @ (hd @ sk2) @ nil)) @ (tl @ sk2))
% 131.31/20.00 != (sk2))
% 131.31/20.01 | ((nil) = (sk2)))),
% 131.31/20.01 inference('simplify', [status(thm)], [zip_derived_cl38876])).
% 131.31/20.01 thf(zip_derived_cl38991, plain,
% 131.31/20.01 ((((nil) = (sk2))
% 131.31/20.01 | ~ (ssList @ sk2)
% 131.31/20.01 | ~ (ssList @ (tl @ sk2))
% 131.31/20.01 | ((app @ (app @ nil @ (cons @ (hd @ sk2) @ nil)) @ (tl @ sk2))
% 131.31/20.01 != (sk2))
% 131.31/20.01 | ((nil) = (sk2)))),
% 131.31/20.01 inference('s_sup-', [status(thm)],
% 131.31/20.01 [zip_derived_cl75, zip_derived_cl38877])).
% 131.31/20.01 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 131.31/20.01 inference('cnf', [status(esa)], [zf_stmt_4])).
% 131.31/20.01 thf(zip_derived_cl38992, plain,
% 131.31/20.01 ((((nil) = (sk2))
% 131.31/20.01 | ~ (ssList @ (tl @ sk2))
% 131.31/20.01 | ((app @ (app @ nil @ (cons @ (hd @ sk2) @ nil)) @ (tl @ sk2))
% 131.31/20.01 != (sk2))
% 131.31/20.01 | ((nil) = (sk2)))),
% 131.31/20.01 inference('demod', [status(thm)],
% 131.31/20.01 [zip_derived_cl38991, zip_derived_cl186])).
% 131.31/20.01 thf(zip_derived_cl38993, plain,
% 131.31/20.01 ((((app @ (app @ nil @ (cons @ (hd @ sk2) @ nil)) @ (tl @ sk2)) != (sk2))
% 131.31/20.01 | ~ (ssList @ (tl @ sk2))
% 131.31/20.01 | ((nil) = (sk2)))),
% 131.31/20.01 inference('simplify', [status(thm)], [zip_derived_cl38992])).
% 131.31/20.01 thf(zip_derived_cl38994, plain,
% 131.31/20.01 ((((nil) = (sk2))
% 131.31/20.01 | ~ (ssList @ sk2)
% 131.31/20.01 | ((app @ (app @ nil @ (cons @ (hd @ sk2) @ nil)) @ (tl @ sk2))
% 131.31/20.01 != (sk2))
% 131.31/20.01 | ((nil) = (sk2)))),
% 131.31/20.01 inference('s_sup-', [status(thm)],
% 131.31/20.01 [zip_derived_cl74, zip_derived_cl38993])).
% 131.31/20.01 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 131.31/20.01 inference('cnf', [status(esa)], [zf_stmt_4])).
% 131.31/20.01 thf(zip_derived_cl38997, plain,
% 131.31/20.01 ((((nil) = (sk2))
% 131.31/20.01 | ((app @ (app @ nil @ (cons @ (hd @ sk2) @ nil)) @ (tl @ sk2))
% 131.31/20.01 != (sk2))
% 131.31/20.01 | ((nil) = (sk2)))),
% 131.31/20.01 inference('demod', [status(thm)],
% 131.31/20.01 [zip_derived_cl38994, zip_derived_cl186])).
% 131.31/20.01 thf(zip_derived_cl38998, plain,
% 131.31/20.01 ((((app @ (app @ nil @ (cons @ (hd @ sk2) @ nil)) @ (tl @ sk2)) != (sk2))
% 131.31/20.01 | ((nil) = (sk2)))),
% 131.31/20.01 inference('simplify', [status(thm)], [zip_derived_cl38997])).
% 131.31/20.01 thf(zip_derived_cl39037, plain,
% 131.31/20.01 ((~ (ssList @ (cons @ (hd @ sk2) @ nil))
% 131.31/20.01 | ((app @ (cons @ (hd @ sk2) @ nil) @ (tl @ sk2)) != (sk2))
% 131.31/20.01 | ((nil) = (sk2)))),
% 131.31/20.01 inference('s_sup-', [status(thm)],
% 131.31/20.01 [zip_derived_cl73, zip_derived_cl38998])).
% 131.31/20.01 thf(zip_derived_cl39073, plain,
% 131.31/20.01 ((~ (ssList @ nil)
% 131.31/20.01 | ~ (ssItem @ (hd @ sk2))
% 131.31/20.01 | ((app @ (cons @ (hd @ sk2) @ nil) @ (tl @ sk2)) != (sk2))
% 131.31/20.01 | ((nil) = (sk2)))),
% 131.31/20.01 inference('s_sup-', [status(thm)],
% 131.31/20.01 [zip_derived_cl85, zip_derived_cl39037])).
% 131.31/20.01 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 131.31/20.01 inference('cnf', [status(esa)], [clause8])).
% 131.31/20.01 thf(zip_derived_cl39074, plain,
% 131.31/20.01 ((~ (ssItem @ (hd @ sk2))
% 131.31/20.01 | ((app @ (cons @ (hd @ sk2) @ nil) @ (tl @ sk2)) != (sk2))
% 131.31/20.01 | ((nil) = (sk2)))),
% 131.31/20.01 inference('demod', [status(thm)], [zip_derived_cl39073, zip_derived_cl7])).
% 131.31/20.01 thf(zip_derived_cl39075, plain,
% 131.31/20.01 ((((nil) = (sk2))
% 131.31/20.01 | ~ (ssList @ sk2)
% 131.31/20.01 | ((app @ (cons @ (hd @ sk2) @ nil) @ (tl @ sk2)) != (sk2))
% 131.31/20.01 | ((nil) = (sk2)))),
% 131.31/20.01 inference('s_sup-', [status(thm)],
% 131.31/20.01 [zip_derived_cl75, zip_derived_cl39074])).
% 131.31/20.01 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 131.31/20.01 inference('cnf', [status(esa)], [zf_stmt_4])).
% 131.31/20.01 thf(zip_derived_cl39076, plain,
% 131.31/20.01 ((((nil) = (sk2))
% 131.31/20.01 | ((app @ (cons @ (hd @ sk2) @ nil) @ (tl @ sk2)) != (sk2))
% 131.31/20.01 | ((nil) = (sk2)))),
% 131.31/20.01 inference('demod', [status(thm)],
% 131.31/20.01 [zip_derived_cl39075, zip_derived_cl186])).
% 131.31/20.01 thf(zip_derived_cl39077, plain,
% 131.31/20.01 ((((app @ (cons @ (hd @ sk2) @ nil) @ (tl @ sk2)) != (sk2))
% 131.31/20.01 | ((nil) = (sk2)))),
% 131.31/20.01 inference('simplify', [status(thm)], [zip_derived_cl39076])).
% 131.31/20.01 thf(zip_derived_cl39080, plain,
% 131.31/20.01 ((~ (ssList @ (tl @ sk2))
% 131.31/20.01 | ~ (ssItem @ (hd @ sk2))
% 131.31/20.01 | ((cons @ (hd @ sk2) @ (tl @ sk2)) != (sk2))
% 131.31/20.01 | ((nil) = (sk2)))),
% 131.31/20.01 inference('s_sup-', [status(thm)],
% 131.31/20.01 [zip_derived_cl119, zip_derived_cl39077])).
% 131.31/20.01 thf(zip_derived_cl39089, plain,
% 131.31/20.01 ((((nil) = (sk2))
% 131.31/20.01 | ~ (ssList @ sk2)
% 131.31/20.01 | ~ (ssItem @ (hd @ sk2))
% 131.31/20.01 | ((cons @ (hd @ sk2) @ (tl @ sk2)) != (sk2))
% 131.31/20.01 | ((nil) = (sk2)))),
% 131.31/20.01 inference('s_sup-', [status(thm)],
% 131.31/20.01 [zip_derived_cl74, zip_derived_cl39080])).
% 131.31/20.01 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 131.31/20.01 inference('cnf', [status(esa)], [zf_stmt_4])).
% 131.31/20.01 thf(zip_derived_cl39092, plain,
% 131.31/20.01 ((((nil) = (sk2))
% 131.31/20.01 | ~ (ssItem @ (hd @ sk2))
% 131.31/20.01 | ((cons @ (hd @ sk2) @ (tl @ sk2)) != (sk2))
% 131.31/20.01 | ((nil) = (sk2)))),
% 131.31/20.01 inference('demod', [status(thm)],
% 131.31/20.01 [zip_derived_cl39089, zip_derived_cl186])).
% 131.31/20.01 thf(zip_derived_cl39093, plain,
% 131.31/20.01 ((((cons @ (hd @ sk2) @ (tl @ sk2)) != (sk2))
% 131.31/20.01 | ~ (ssItem @ (hd @ sk2))
% 131.31/20.01 | ((nil) = (sk2)))),
% 131.31/20.01 inference('simplify', [status(thm)], [zip_derived_cl39092])).
% 131.31/20.01 thf(zip_derived_cl39104, plain,
% 131.31/20.01 ((((nil) = (sk2))
% 131.31/20.01 | ~ (ssList @ sk2)
% 131.31/20.01 | ((cons @ (hd @ sk2) @ (tl @ sk2)) != (sk2))
% 131.31/20.01 | ((nil) = (sk2)))),
% 131.31/20.01 inference('s_sup-', [status(thm)],
% 131.31/20.01 [zip_derived_cl75, zip_derived_cl39093])).
% 131.31/20.01 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 131.31/20.01 inference('cnf', [status(esa)], [zf_stmt_4])).
% 131.31/20.01 thf(zip_derived_cl39105, plain,
% 131.31/20.01 ((((nil) = (sk2))
% 131.31/20.01 | ((cons @ (hd @ sk2) @ (tl @ sk2)) != (sk2))
% 131.31/20.01 | ((nil) = (sk2)))),
% 131.31/20.01 inference('demod', [status(thm)],
% 131.31/20.01 [zip_derived_cl39104, zip_derived_cl186])).
% 131.31/20.01 thf(zip_derived_cl39106, plain,
% 131.31/20.01 ((((cons @ (hd @ sk2) @ (tl @ sk2)) != (sk2)) | ((nil) = (sk2)))),
% 131.31/20.01 inference('simplify', [status(thm)], [zip_derived_cl39105])).
% 131.31/20.01 thf(zip_derived_cl39107, plain,
% 131.31/20.01 ((((nil) = (sk2)) | ~ (ssList @ sk2) | ((sk2) != (sk2)) | ((nil) = (sk2)))),
% 131.31/20.01 inference('s_sup-', [status(thm)],
% 131.31/20.01 [zip_derived_cl103, zip_derived_cl39106])).
% 131.31/20.01 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 131.31/20.01 inference('cnf', [status(esa)], [zf_stmt_4])).
% 131.31/20.01 thf(zip_derived_cl39108, plain,
% 131.31/20.01 ((((nil) = (sk2)) | ((sk2) != (sk2)) | ((nil) = (sk2)))),
% 131.31/20.01 inference('demod', [status(thm)],
% 131.31/20.01 [zip_derived_cl39107, zip_derived_cl186])).
% 131.31/20.01 thf(zip_derived_cl39109, plain, (((nil) = (sk2))),
% 131.31/20.01 inference('simplify', [status(thm)], [zip_derived_cl39108])).
% 131.31/20.01 thf(zip_derived_cl39112, plain, ( (neq @ nil @ nil)),
% 131.31/20.01 inference('demod', [status(thm)],
% 131.31/20.01 [zip_derived_cl191, zip_derived_cl39109])).
% 131.31/20.01 thf(clause115, axiom,
% 131.31/20.01 (( ( U ) != ( V ) ) | ( ~( neq @ U @ V ) ) | ( ~( ssList @ V ) ) |
% 131.31/20.01 ( ~( ssList @ U ) ))).
% 131.31/20.01 thf(zip_derived_cl114, plain,
% 131.31/20.01 (![X0 : $i, X1 : $i]:
% 131.31/20.01 (((X1) != (X0))
% 131.31/20.01 | ~ (neq @ X1 @ X0)
% 131.31/20.01 | ~ (ssList @ X0)
% 131.31/20.01 | ~ (ssList @ X1))),
% 131.31/20.01 inference('cnf', [status(esa)], [clause115])).
% 131.31/20.01 thf(zip_derived_cl1392, plain,
% 131.31/20.01 (![X0 : $i]: (~ (ssList @ X0) | ~ (ssList @ X0) | ~ (neq @ X0 @ X0))),
% 131.31/20.01 inference('eq_res', [status(thm)], [zip_derived_cl114])).
% 131.31/20.01 thf(zip_derived_cl1393, plain,
% 131.31/20.01 (![X0 : $i]: (~ (neq @ X0 @ X0) | ~ (ssList @ X0))),
% 131.31/20.01 inference('simplify', [status(thm)], [zip_derived_cl1392])).
% 131.31/20.01 thf(zip_derived_cl40248, plain, (~ (ssList @ nil)),
% 131.31/20.01 inference('s_sup-', [status(thm)],
% 131.31/20.01 [zip_derived_cl39112, zip_derived_cl1393])).
% 131.31/20.01 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 131.31/20.01 inference('cnf', [status(esa)], [clause8])).
% 131.31/20.01 thf(zip_derived_cl40250, plain, ($false),
% 131.31/20.01 inference('demod', [status(thm)], [zip_derived_cl40248, zip_derived_cl7])).
% 131.31/20.01
% 131.31/20.01 % SZS output end Refutation
% 131.31/20.01
% 131.31/20.01
% 131.31/20.01 % Terminating...
% 132.31/20.06 % Runner terminated.
% 132.31/20.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------